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Finding the Third Proportional to 21,872 and 46,855

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Solution

The third proportional to 21,872 and 46,855 is: 100,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872 : 46,855 = 46,855 : x
  2. Step 2: Convert to fraction form
    21,872/46,855 = 46,855/x
  3. Step 3: Cross multiply
    21,872x = 46,855 × 46,855
  4. Step 4: Simplify right side
    21,872x = 2,195,391,025
  5. Step 5: Solve for x
    x = 2,195,391,025/21,872
  6. Step 6: Final answer
    x = 100,374.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.